If b > c sin B, b < c and B is acute angle then number of triangles possible following the given conditions is 1.

True

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False

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Solution

The correct option is B False
Let's construct the figure with given information.

We fixed angle B and c. Given b < c, therefore length of b is greater than c sin B and less than c. From the figure if we draw an arc from A it will cut line LM at 2 distinct points. Therefore 2 triangles are possible.

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